EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 26, Problem 4P

Solve the following initial-value problem over the intervalfrom t = 2  to 3 :

d y d x = 0.4 y + e 2 t

Use the non-self-starting Heun method with a step size of 0.5 and initial conditions of y ( 1.5 ) = 5.800007  and  y ( 2.0 ) = 4.762673 . Iterate the corrector to ε S = 0.1 % . Compute the true percent relative errors ε t for your results based on the analytical solution.

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Qu 4 Silver has FCC crystal structure at room temperature, and a lattice constant, a, of 0.407 nm. Draw a reduced sphere silver unit cell in the grids provided below, clearly label the lattice dimensions. Within the unit cell you drew, shade the (1 0 0) plane. How many atoms are contained within the (1 0 0) plane? Calculate the area of (1 0 0) plane in [nm?]. Express your answer in [nm?] to three significant figures. Calculate the planar density of the (1 0 0) plane in [atoms/nm?]. Express the answer in atoms/nm to three significant figures.  show all work step by step
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